Integral conditions for Hardy-type operators involving suprema

Abstrakt

We characterize the validity of the weighted inequality for all nonnegative functions g on , with exponents in the range and. Moreover, we give an integral characterization of the inequality being satisfied for all nonnegative nonincreasing functions f on in the case , for which an integral condition was previously unknown.

Klíčová slova

• Operators with suprema
• Hardy-type inequalities
• Weights